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. Author manuscript; available in PMC: 2021 Aug 15.
Published in final edited form as: Stat Med. 2021 Apr 29;40(18):4035–4052. doi: 10.1002/sim.9012

TABLE 4.

The Bias, empirical standard error (SE) and relative efficiency (RE) of the TIPW estimator, the proposed AIPW estimator, the nonparametric method based estimator (NP) and the CLR based estimator (CLR). For the proposed AIPW estimator, we also calculated the average of the estimated standard error (ASE), empirical coverage probabilities (CP) of the 95% CIs (×100).

Bias SE RE AIPW
true TIPW AIPW NP CLR TIPW AIPW NP CLR TIPW AIPW NP CLR ASE CP
γ¯1 0.693 0.022 0.053 0.006 0.022 0.122 0.103 0.106 0.108 1.000 1.152 1.372 1.275 0.105 93.5
γ¯2 1.099 −0.062 −0.008 −0.027 0.043 0.116 0.087 0.085 0.193 1.000 2.245 2.146 0.440 0.093 94.9
TPR 0.457 −0.044 −0.009 −0.036 0.047 0.038 0.043 1.000 2.623 1.305 0.038 91.5
PPV 0.163 0.004 −0.002 0.002 0.022 0.016 0.020 1.000 1.866 1.291 0.016 94.9
NPV 0.988 −0.003 −0.000 −0.002 0.002 0.001 0.002 1.000 8.090 1.539 0.001 95.9
TPR 0.601 −0.049 −0.008 −0.039 0.045 0.034 0.038 1.000 3.471 1.465 0.036 93.3
PPV 0.113 0.005 −0.000 0.004 0.014 0.010 0.012 1.000 2.334 1.446 0.010 95.9
NPV 0.991 −0.003 −0.001 −0.002 0.002 0.001 0.001 1.000 8.275 1.503 0.001 95.1
TPR 0.757 −0.047 −0.005 −0.035 0.037 0.028 0.031 1.000 4.325 1.631 0.031 96.1
PPV 0.075 0.005 −0.001 0.003 0.008 0.006 0.007 1.000 2.804 1.482 0.006 96.7
NPV 0.994 −0.003 −0.001 −0.002 0.001 0.001 0.001 1.000 8.069 1.548 0.001 93.3